The Australian Journal of Mathematical Analysis and Applications

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ISSN 1449-5910  


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Paper's Title:

Application of Equivalence Method to Classify Monge-Ampère Equations of Elliptic Type


Moheddine Imsatfia



In this paper, we apply Cartan's equivalence method to give a local classification of Monge-Ampère equations of elliptic type. Then we find a necessary and sufficient conditions such that a Monge-Ampère equation is either contactomorphic to the Laplace equation or to an Euler-Lagrange equation.

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